BCS everywhere else: from Atoms and Nuclei to the Cosmos. Gordon Baym University of Illinois
|
|
- Jerome Park
- 6 years ago
- Views:
Transcription
1 BCS everywhere else: from Atoms and Nuclei to the Cosmos Gordon Baym University of Illinois October 13, 2007
2 Wide applications of BCS beyond laboratory superconductors Pairing of nucleons in nuclei Neutron stars: pairing in neutron star matter Pairing of quarks in degenerate quark-gluon plasmas Elementary particle physics broken symmetry Cold fermionic atoms Helium-3
3 BCS applied to nuclear systems Pairing of even numbers of neutrons or protons outside closed shells *David Pines brings BCS to Niels Bohr s Institute in Copenhagen, Summer 1957, as BCS was being finished in Urbana. *Aage Bohr, Ben Mottelson and Pines (57) suggest BCS pairing in nuclei to explain energy gap in single particle spectrum odd-even mass differences *Pairing gaps deduced from odd-even mass differences: Δ ' 12 A -1/2 MeV for both protons and neutrons
4 B. Mottelson, M. Goeppert-Mayer, H. Jensen, Aa. Bohr Conference on Nuclear Structure, Weizmann Institute, Sept. 8-14, 1957
5 Energies of first excited states: even-even (BCS paired) vs. odd A (unpaired) nuclei Energy gap
6
7 Rotational spectra of nuclei: E = J 2 / 2I, indicate moment of inertia, I, reduced from rigid body value, I cl.. Reduction of moment of inertia due to BCS pairing = analog of Meissner effect. Detailed calculations by Migdal (1959).
8 BCS pairing of nucleons in neutron stars Mass ~ 1.4 M sun Radius ~ km Temperature ~ K Surface gravity ~10 14 that of Earth Surface binding ~ 1/10 mc 2 Mountains < 1 mm 1 S 0 neutrons 1 S 0 protons 3 P 2 neutrons Density ~ 2x10 14 g/cm 3
9 Neutron drip Beyond density ρ drip g/cm 3 neutron bound states in nuclei become filled through capture of high Fermi momentum electrons by protons: e - +p n +ν. Further neutrons must go into continuum states. Form degenerate neutron Fermi sea. Neutrons in neutron sea are in equilibrium with those inside nucleus Protons never drip, but remain in bound states until nuclei merge into interior liquid.
10 Superfluidity of nuclear matter in neutrons stars Migdal 1959, Ginzburg & Kirshnits 1964; Ruderman 1967; GB, Pines & Pethick,, 1969 First estimates of pairing gaps based on scattering phase shifts CRUST LIQUID CORE Neutron fluid in crust BCS-paired in relative 1 S 0 states Neutron fluid in core 3 P 2 paired Proton fluid 1 S 0 paired n=hoffberg et al. 1970, p=chao et al. 1972
11 Quantum Monte Carlo (AFDMC) 1 S 0 nn gap in crust: Fabrocini et al, PRL 95, (2005) BCS for different interactions QMC (black points) close to standard BCS (upper curves) Green s function Monte Carlo (Gezerlis 2007)
12 Rotating superfluid neutrons Rotating superfluid threaded by triangular lattice of vortices parallel to stellar rotation axis Quantized circulation of superfluid velocity about vortex: Bose-condensed 87 Rb atoms Schweikhard et al., PRL (2004) Vortex core 10 fm Vortex separation 0.01P(s) 1/2 cm; Vela contains vortices Angular momentum of vortex =N~(1-r 2 /R 2 ) decreases as vortex moves outwards => to spin down must move vortices outwards Superfluid spindown controlled by rate at which vortices can move against barriers, under dissipation
13 Superconducting protons in magnetic field Even though superconductors expel magnetic flux, for magnetic field below critical value, flux diffusion times in neutron stars are >> age of universe. Proton superconductivity forms with field present. Proton fluid threaded by triangular (Abrikosov) lattice of vortices parallel to magnetic field (for Type II superconductor) Quantized magnetic flux per vortex: = φ 0 = G. Vortex core 10 fm, n vort = B/φ 0 => spacing ~ 5 x cm (B /10 12 G) -1/2
14 Pulsar glitches Sudden speedups in rotation period, relaxing back in days to years, with no significant change in pulsed electromagnetic emission 90 glitches detected in 30 pulsars Vela (PSR ) Period=1/Ω=0.089sec 15 glitches since discovery in 1969 ΔΩ/Ω ~ 10-6 Largest = on Jan. 16, 2000 Moment of inertia gcm 2 => ΔE rot ~ erg Feb. 28, 1969 Reichley and Downs, Nature 1969 Radhakrishnan and Manchester, Nature 1969 Crab (PSR ) P = 0.033sec 14 glitches since 1969 ΔΩ/Ω 10-9
15 Pairing in high energy nuclear/particle physics Vacuum condensates: quark-antiquark pairing underlies chiral SU(3) SU(3) breaking of vacuum=> Experimental Bose-Einstein decondensation Karsch & Laermann, hep-lat/ Broken symmetry -- Particle masses via Higgs field L m = ghψ γ 0 ψ => g hhi ψ γ 0 ψ => m = ghhi h BCS pairing of degenerate quark matter color superconductivity
16 Color pairing in quark matter Review: Alford, Rajagopal, Schaefer & Schmitt, arxiv: Temperature 150 MeV Ultrarelativistic heavy-ion collisions Hadronic matter Nuclear liquid-gas Quark-gluon plasma 1 GeV Neutron stars Baryon chemical potential? 2SC CFL Superfluidity condensate of paired quarks => superfluid baryon density (n s ) Color Meissner effects transverse color fields screened on spatial scale ~ London penetration depth ~ (μ/g 2 n s ) 1/2 Two interesting phases: 2SC (u,d) Color-flavor locked (CFL) (m u =m d =m s )
17 BCS paired fermions: a new superfluid High T: Boltzmann distribution Observing Statistics 7 Li vs. 6 Li Bosons: BEC Degenerate fermions in two hyperfine states BCS pairing Low T: Degenerate gas Hulet Produce trapped degenerate Fermi gases: 6 Li, 40 K Increase attractive interaction with Feshbach resonance At resonance have unitary regime : no length scale resonance superfluidity Experiments: JILA, MIT, Duke, Innsbruck,...
18 Controlling the interparticle interaction Effective interparticle interaction short range s-wave: V(r 1 -r 2 ) = (4π~ 2 a/m) δ (r 1 -r 2 ); a= s-wave atom-atom scattering length weakly bound molecule in closed channel Li Scattering Length ( a O ) Magnetic Field ( G ) Broad resonance around 830 Gauss Increasing magnetic field through resonance changes interactions from repulsive to attractive; very strong in neighborhood of resonance
19 Feshbach resonance in atom-atom scattering open channel closed channel open channel s-wave magnetic moment: μ μ + Δ μ Scattering amplitude M 2 E c E o E c -E 0 Δμ B +... Low energy scattering dominated by bound state closest to threshold Adjusting magnetic field, B, causes level crossing and resonance, seen as divergence of s-wave scattering length, a:
20 BEC-BCS crossover in Fermi systems Continuously transform from molecules to Cooper pairs: D.M. Eagles (1969) A.J. Leggett, J. Phys. (Paris) C7, 19 (1980) P. Nozières and S. Schmitt-Rink, J. Low Temp Phys. 59, 195 (1985) Pairs shrink T c /T f 0.2 T c /T f e -1/k fa 6 Li
21 Relation of Bose-Einstein condensation and BCS pairing? The two phenomena developed along quite different paths Our pairs are not localized..., and our transition is not analogous to a Bose-Einstein condensation. BCS paper Oct "We believe that there is no relation between actual superconductors and the superconducting properties of a perfect Bose-Einstein gas. The key point in our theory is that the virtual pairs all have the same net momentum. The reason is not Bose-Einstein statistics, but comes from the exclusion principle...." Bardeen to Dyson, 23 July 1957
22 Phase diagram of cold fermions vs. interaction strength Temperature Free fermions +di-fermion molecules T a>0 c /E F 0.23 T c BEC of di-fermion molecules 0 Free fermions a<0 T c E F e -π/2k F a (magnetic field B) BCS -1/k f a Unitary regime -- crossover No phase transition through crossover
23 Vortices in trapped Fermi gases: marker of superfluidity M.W. Zwierlein, J.R. Abo-Shaeer, A. Schirotzek, C.H. Schunck, and W. Ketterle, Nature 435, 1047 (2005) 6 Li Resonance at 834G B<834G = BEC B>834G = BCS BEC BCS
24 Superfluidity and pairing for unbalanced systems Trapped atoms: change relative populations of two states by hand QGP: balance of strange (s) quarks to light (u,d) depends on ratio of strange quark mass m s to chemical potential μ (>0)
25 Experiments on 6 Li with imbalanced populations of two hyperfine states, 1i and 2i MIT: Zwierlein et al., Science 311, 492 (2006); Nature 442, 54 (2006); Y. Shin et al., arxiv: Rice: G.B. Partridge, W. Li, R.I. Kamar, Y.A. Liao, and R.G.. Hulet Science 311, 503 (2006)., Fill trap with n 1 1i atoms, and n 2 2i atoms, with n 1 > n 2. Study spatial distribution, and existence of superfluidity for varying n 1 :n 2.
26 Phase diagram of trapped imbalanced Fermi gases Y. Shin, C. H. Schunck, A. Schirotzek, & W.Ketterle, arxiv: G.B. Partridge, W. Li, R.I. Kamar, Y.A. Liao, and R.G.. Hulet, Science 311, 503 (2006). normal halo superfluid core In trap geometry Superfluid: : second order transition to normal phase with increasing radius with gapless superfluid near boundary Unstable => phase separation: : first order transition
27 Vortices in imbalanced paired fermions (MIT) BEC side All 1i 1i = 2i BCS side BEC No. of vortices vs. population imbalance
28 John Bardeen the Super Conductor Bob & Anne Schrieffer with his students, for his 60 th birthday, 1968.
BCS: from Atoms and Nuclei to the Cosmos
BCS: from Atoms and Nuclei to the Cosmos Gordon Baym University of Illinois BCS theory has had a profound impact on physics well beyond laboratory superconductors and superfluids. This talk will describe
More informationCondensation of nucleons and quarks: from nuclei to neutron stars and color superconductors
Condensation of nucleons and quarks: from nuclei to neutron stars and color superconductors Gordon Baym University of Illinois, Urbana Workshop on Universal Themes of Bose-Einstein Condensation Leiden
More informationReference for most of this talk:
Cold fermions Reference for most of this talk: W. Ketterle and M. W. Zwierlein: Making, probing and understanding ultracold Fermi gases. in Ultracold Fermi Gases, Proceedings of the International School
More informationBose-condensed and BCS fermion superfluid states T ~ nano to microkelvin (coldest in the universe)
Deconfined quark-gluon plasmas made in ultrarelativistic heavy ion collisions T ~ 10 2 MeV ~ 10 12 K (temperature of early universe at ~1µ sec) Bose-condensed and BCS fermion superfluid states T ~ nano
More informationNew states of quantum matter created in the past decade
New states of quantum matter created in the past decade From: Trapped cold atomic systems: Bose-condensed and BCS fermion superfluid states T ~ nanokelvin (traps are the coldest places in the universe!)
More informationICAP Summer School, Paris, Three lectures on quantum gases. Wolfgang Ketterle, MIT
ICAP Summer School, Paris, 2012 Three lectures on quantum gases Wolfgang Ketterle, MIT Cold fermions Reference for most of this talk: W. Ketterle and M. W. Zwierlein: Making, probing and understanding
More informationNew States of Quantum Matter
New States of Quantum Matter Gordon Baym University of Illinois Recent Progress in Many-Body Theories 14 Barcelona 17 July 2007v New states of quantum matter created in the past decade From: Trapped cold
More informationFrom BEC to BCS. Molecular BECs and Fermionic Condensates of Cooper Pairs. Preseminar Extreme Matter Institute EMMI. and
From BEC to BCS Molecular BECs and Fermionic Condensates of Cooper Pairs Preseminar Extreme Matter Institute EMMI Andre Wenz Max-Planck-Institute for Nuclear Physics and Matthias Kronenwett Institute for
More informationNuclear structure III: Nuclear and neutron matter. National Nuclear Physics Summer School Massachusetts Institute of Technology (MIT) July 18-29, 2016
Nuclear structure III: Nuclear and neutron matter Stefano Gandolfi Los Alamos National Laboratory (LANL) National Nuclear Physics Summer School Massachusetts Institute of Technology (MIT) July 18-29, 2016
More informationIntroduction to Cold Atoms and Bose-Einstein Condensation. Randy Hulet
Introduction to Cold Atoms and Bose-Einstein Condensation Randy Hulet Outline Introduction to methods and concepts of cold atom physics Interactions Feshbach resonances Quantum Gases Quantum regime nλ
More informationNeutron Star and Superfluidity
Neutron Star and Superfluidity Ka Wai Lo Department of Physics, University of Illinois at Urbana-Champaign December 13, 2010 Abstract It is expected that under high density, nucleons in neutron star can
More informationSuperconducting phases of quark matter
Superconducting phases of quark matter Igor A. Shovkovy Frankfurt Institute for Advanced Studies Johann W. Goethe-Universität Max-von-Laue-Str. 1 60438 Frankfurt am Main, Germany Outline I. Introduction
More informationIntroduction to Bose-Einstein condensation 4. STRONGLY INTERACTING ATOMIC FERMI GASES
1 INTERNATIONAL SCHOOL OF PHYSICS "ENRICO FERMI" Varenna, July 1st - July 11 th 2008 " QUANTUM COHERENCE IN SOLID STATE SYSTEMS " Introduction to Bose-Einstein condensation 4. STRONGLY INTERACTING ATOMIC
More informationMatter under Extreme Conditions
Matter under Extreme Conditions Gordon Baym University of Illinois The ExtreMe Matter Institute (EMMI) 16 July 2008 Milestones in study of matter under extreme conditions Discovery of pulsars and neutron
More informationThe phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other
1 The phases of matter familiar for us from everyday life are: solid, liquid, gas and plasma (e.f. flames of fire). There are, however, many other phases of matter that have been experimentally observed,
More informationCold fermions, Feshbach resonance, and molecular condensates (II)
Cold fermions, Feshbach resonance, and molecular condensates (II) D. Jin JILA, NIST and the University of Colorado I. Cold fermions II. III. Feshbach resonance BCS-BEC crossover (Experiments at JILA) $$
More informationBCS-BEC Crossover. Hauptseminar: Physik der kalten Gase Robin Wanke
BCS-BEC Crossover Hauptseminar: Physik der kalten Gase Robin Wanke Outline Motivation Cold fermions BCS-Theory Gap equation Feshbach resonance Pairing BEC of molecules BCS-BEC-crossover Conclusion 2 Motivation
More informationQuark matter and the high-density frontier. Mark Alford Washington University in St. Louis
Quark matter and the high-density frontier Mark Alford Washington University in St. Louis Outline I Quarks at high density Confined, quark-gluon plasma, color superconducting II Color superconducting phases
More informationE. Fermi: Notes on Thermodynamics and Statistics (1953))
E. Fermi: Notes on Thermodynamics and Statistics (1953)) Neutron stars below the surface Surface is liquid. Expect primarily 56 Fe with some 4 He T» 10 7 K ' 1 KeV >> T melting ( 56 Fe) Ionization: r Thomas-Fermi
More informationSuperfluidity and Superconductivity Macroscopic Quantum Phenomena
Superfluid Bose and Fermi gases Wolfgang Ketterle Massachusetts Institute of Technology MIT-Harvard Center for Ultracold Atoms 3/11/2013 Universal Themes of Bose-Einstein Condensation Leiden Superfluidity
More informationContents. 1.1 Prerequisites and textbooks Physical phenomena and theoretical tools The path integrals... 9
Preface v Chapter 1 Introduction 1 1.1 Prerequisites and textbooks......................... 1 1.2 Physical phenomena and theoretical tools................. 5 1.3 The path integrals..............................
More informationNeutron vs. Quark Stars. Igor Shovkovy
Neutron vs. Quark Stars Igor Shovkovy Neutron stars Radius: R 10 km Mass: 1.25M M 2M Period: 1.6 ms P 12 s? Surface magnetic field: 10 8 G B 10 14 G Core temperature: 10 kev T 10 MeV April 21, 2009 Arizona
More informationCondensate fraction for a polarized three-dimensional Fermi gas
Condensate fraction for a polarized three-dimensional Fermi gas Luca Salasnich Dipartimento di Fisica e Astronomia Galileo Galilei, Università di Padova, Italy Camerino, June 26, 2014 Collaboration with:
More informationBEC of 6 Li 2 molecules: Exploring the BEC-BCS crossover
Institut für Experimentalphysik Universität Innsbruck Dresden, 12.10. 2004 BEC of 6 Li 2 molecules: Exploring the BEC-BCS crossover Johannes Hecker Denschlag The lithium team Selim Jochim Markus Bartenstein
More informationBose-Einstein condensation of lithium molecules and studies of a strongly interacting Fermi gas
Bose-Einstein condensation of lithium molecules and studies of a strongly interacting Fermi gas Wolfgang Ketterle Massachusetts Institute of Technology MIT-Harvard Center for Ultracold Atoms 3/4/04 Workshop
More informationSupersolids. Bose-Einstein Condensation in Quantum Solids Does it really exist?? W. J. Mullin
Supersolids Bose-Einstein Condensation in Quantum Solids Does it really exist?? W. J. Mullin This is a lively controversy in condensed matter physics. Experiment says yes. Theory says no, or at best maybe.
More informationEffective Field Theory and Ultracold Atoms
Effective Field Theory and Ultracold Atoms Eric Braaten Ohio State University support Department of Energy Air Force Office of Scientific Research Army Research Office 1 Effective Field Theory and Ultracold
More informationLecture 4. Feshbach resonances Ultracold molecules
Lecture 4 Feshbach resonances Ultracold molecules 95 Reminder: scattering length V(r) a tan 0( k) lim k0 k r a: scattering length Single-channel scattering a 96 Multi-channel scattering alkali-metal atom:
More informationDensity Waves and Supersolidity in Rapidly Rotating Atomic Fermi Gases
Density Waves and Supersolidity in Rapidly Rotating Atomic Fermi Gases Nigel Cooper T.C.M. Group, Cavendish Laboratory, University of Cambridge Quantum Gases Conference, Paris, 30 June 2007. Gunnar Möller
More informationNeutron Matter: EOS, Spin and Density Response
Neutron Matter: EOS, Spin and Density Response LANL : A. Gezerlis, M. Dupuis, S. Reddy, J. Carlson ANL: S. Pieper, R.B. Wiringa How can microscopic theories constrain mean-field theories and properties
More informationPomiędzy nadprzewodnictwem a kondensacją Bosego-Einsteina. Piotr Magierski (Wydział Fizyki Politechniki Warszawskiej)
Pomiędzy nadprzewodnictwem a kondensacją Bosego-Einsteina Piotr Magierski (Wydział Fizyki Politechniki Warszawskiej) 100 years of superconductivity and superfluidity in Fermi systems Discovery: H. Kamerlingh
More informationCOLOR SUPERCONDUCTIVITY
COLOR SUPERCONDUCTIVITY Massimo Mannarelli INFN-LNGS massimo@lngs.infn.it GGI-Firenze Sept. 2012 Compact Stars in the QCD Phase Diagram, Copenhagen August 2001 Outline Motivations Superconductors Color
More information(Color-)magnetic flux tubes in dense matter
Seattle, Apr 17, 2018 1 Andreas Schmitt Mathematical Sciences and STAG Research Centre University of Southampton Southampton SO17 1BJ, United Kingdom (Color-)magnetic flux tubes in dense matter A. Haber,
More informationThe 2010 US National Nuclear Physics Summer School and the TRIUMF Summer Institute, NNPSS-TSI June 21 July 02, 2010, Vancouver, BC, Canada
TU DARMSTADT The 2010 US National Nuclear Physics Summer School and the TRIUMF Summer Institute, NNPSS-TSI June 21 July 02, 2010, Vancouver, BC, Canada Achim Richter ECT* Trento/Italy and TU Darmstadt/Germany
More informationThe Phases of QCD. Thomas Schaefer. North Carolina State University
The Phases of QCD Thomas Schaefer North Carolina State University 1 Plan of the lectures 1. QCD and States of Matter 2. The High Temperature Phase: Theory 3. Exploring QCD at High Temperature: Experiment
More informationHigh-Temperature Superfluidity
High-Temperature Superfluidity Tomoki Ozawa December 10, 2007 Abstract With the recent advancement of the technique of cooling atomic gases, it is now possible to make fermionic atom gases into superfluid
More informationDense Matter and Neutrinos. J. Carlson - LANL
Dense Matter and Neutrinos J. Carlson - LANL Neutron Stars and QCD phase diagram Nuclear Interactions Quantum Monte Carlo Low-Density Equation of State High-Density Equation of State Neutron Star Matter
More informationIntroductory Nuclear Physics. Glatzmaier and Krumholz 7 Prialnik 4 Pols 6 Clayton 4.1, 4.4
Introductory Nuclear Physics Glatzmaier and Krumholz 7 Prialnik 4 Pols 6 Clayton 4.1, 4.4 Each nucleus is a bound collection of N neutrons and Z protons. The mass number is A = N + Z, the atomic number
More informationStrongly paired fermions
Strongly paired fermions Alexandros Gezerlis TALENT/INT Course on Nuclear forces and their impact on structure, reactions and astrophysics July 4, 2013 Strongly paired fermions Neutron matter & cold atoms
More informationQuantum Quantum Optics Optics VII, VII, Zakopane Zakopane, 11 June 09, 11
Quantum Optics VII, Zakopane, 11 June 09 Strongly interacting Fermi gases Rudolf Grimm Center for Quantum Optics in Innsbruck University of Innsbruck Austrian Academy of Sciences ultracold fermions: species
More informationPhase Oscillation between Superfluid and Normal State of Neutrons in Neutron Stars The Origin of Glitches of Pulsars 1
Phase Oscillation between Superfluid and Normal State of Neutrons in Neutron Stars The Origin of Glitches of Pulsars Qiu-he Peng a,b ( qhpeng@nju.edu.cn ) Zhi quan Luo a,c a School of Physics and electronic
More informationIntersections of nuclear physics and cold atom physics
Intersections of nuclear physics and cold atom physics Thomas Schaefer North Carolina State University Unitarity limit Consider simple square well potential a < 0 a =, ǫ B = 0 a > 0, ǫ B > 0 Unitarity
More informationa model-independent view
The state of cold quark matter: a model-independent view Renxin Xu ( 徐仁新 ) School of Physics, Peking University Compact stars in the QCD phase diagram II (CSQCD II), PKU May 24th, 2009. What s the nature
More informationPairing properties, pseudogap phase and dynamics of vortices in a unitary Fermi gas
Pairing properties, pseudogap phase and dynamics of vortices in a unitary Fermi gas Piotr Magierski (Warsaw University of Technology/ University of Washington, Seattle) Collaborators: Aurel Bulgac (Seattle)
More informationTransport coefficients from Kinetic Theory: Bulk viscosity, Diffusion, Thermal conductivity. Debarati Chatterjee
Transport coefficients from Kinetic Theory: Bulk viscosity, Diffusion, Thermal conductivity Debarati Chatterjee Recap: Hydrodynamics of nearly perfect fluids Hydrodynamics: correlation functions at low
More informationSmall bits of cold, dense matter
Small bits of cold, dense matter Alessandro Roggero (LANL) with: S.Gandolfi & J.Carlson (LANL), J.Lynn (TUD) and S.Reddy (INT) ArXiv:1712.10236 Nuclear ab initio Theories and Neutrino Physics INT - Seattle
More informationStrongly correlated Cooper pair insulators and superfluids
Strongly correlated Cooper pair insulators and superfluids Predrag Nikolić George Mason University Acknowledgments Collaborators Subir Sachdev Eun-Gook Moon Anton Burkov Arun Paramekanti Affiliations and
More informationSuperfluid Phase Transition in Gaseous Two Component Lithium-6 System: Critical Temperature. Abstract
Superfluid Phase Transition in Gaseous Two Component Lithium-6 System: Critical Temperature Benjamin M. Fregoso Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street,
More informationVela Pulsar Glitches and Nuclear Superfluidity
Vela Pulsar Glitches and Nuclear Superfluidity Nicolas Chamel Institute of Astronomy and Astrophysics Université Libre de Bruxelles, Belgium March 214 Vela pulsar In October 1968, astronomers from the
More informationSuperfluid Density of Neutrons in the Inner Crust of Neutron Stars:
PACIFIC 2018 (Feb. 14, 2018) Superfluid Density of Neutrons in the Inner Crust of Neutron Stars: New Life for Pulsar Glitch Models GW & C. J. Pethick, PRL 119, 062701 (2017). Gentaro Watanabe (Zhejiang
More informationFrom laser cooling to BEC First experiments of superfluid hydrodynamics
From laser cooling to BEC First experiments of superfluid hydrodynamics Alice Sinatra Quantum Fluids course - Complement 1 2013-2014 Plan 1 COOLING AND TRAPPING 2 CONDENSATION 3 NON-LINEAR PHYSICS AND
More informationStrongly Correlated Physics With Ultra-Cold Atoms
Strongly Correlated Physics With Ultra-Cold Atoms Predrag Nikolić Rice University Acknowledgments Collaborators Subir Sachdev Eun-Gook Moon Anton Burkov Arun Paramekanti Sponsors W.M.Keck Program in Quantum
More informationINTRODUCTION TO THE STRUCTURE OF MATTER
INTRODUCTION TO THE STRUCTURE OF MATTER A Course in Modern Physics John J. Brehm and William J. Mullin University of Massachusetts Amherst, Massachusetts Fachberelch 5?@8hnlsdie Hochschule Darmstadt! HochschulstraSa
More informationMany-Body Problems and Quantum Field Theory
Philippe A. Martin Francois Rothen Many-Body Problems and Quantum Field Theory An Introduction Translated by Steven Goldfarb, Andrew Jordan and Samuel Leach Second Edition With 102 Figures, 7 Tables and
More information3. Introductory Nuclear Physics 1; The Liquid Drop Model
3. Introductory Nuclear Physics 1; The Liquid Drop Model Each nucleus is a bound collection of N neutrons and Z protons. The mass number is A = N + Z, the atomic number is Z and the nucleus is written
More informationBEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids Daniel E. Sheehy Ames Laboratory Iowa State University Work in collaboration with L. Radzihovsky (Boulder)
More informationFermi Condensates ULTRACOLD QUANTUM GASES
Fermi Condensates Markus Greiner, Cindy A. Regal, and Deborah S. Jin JILA, National Institute of Standards and Technology and University of Colorado, and Department of Physics, University of Colorado,
More information10 Supercondcutor Experimental phenomena zero resistivity Meissner effect. Phys463.nb 101
Phys463.nb 101 10 Supercondcutor 10.1. Experimental phenomena 10.1.1. zero resistivity The resistivity of some metals drops down to zero when the temperature is reduced below some critical value T C. Such
More informationThermodynamic Measurements in a Strongly Interacting Fermi Gas
J Low Temp Phys (2009) 154: 1 29 DOI 10.1007/s10909-008-9850-2 Thermodynamic Measurements in a Strongly Interacting Fermi Gas Le Luo J.E. Thomas Received: 25 July 2008 / Accepted: 12 October 2008 / Published
More informationEquation of state of the unitary Fermi gas
Equation of state of the unitary Fermi gas Igor Boettcher Institute for Theoretical Physics, University of Heidelberg with S. Diehl, J. M. Pawlowski, and C. Wetterich C o ld atom s Δ13, 11. 1. 2013 tio
More informationSpeculations on extensions of symmetry and interctions to GUT energies Lecture 16
Speculations on extensions of symmetry and interctions to GUT energies Lecture 16 1 Introduction The use of symmetry, as has previously shown, provides insight to extensions of present physics into physics
More informationThe Phases of QCD. Thomas Schaefer. North Carolina State University
The Phases of QCD Thomas Schaefer North Carolina State University 1 Motivation Different phases of QCD occur in the universe Neutron Stars, Big Bang Exploring the phase diagram is important to understanding
More informationCONDENSED MATTER: towards Absolute Zero
CONDENSED MATTER: towards Absolute Zero The lowest temperatures reached for bulk matter between 1970-2000 AD. We have seen the voyages to inner & outer space in physics. There is also a voyage to the ultra-cold,
More informationBroad and Narrow Fano-Feshbach Resonances: Condensate Fraction in the BCS-BEC Crossover
Broad and Narrow Fano-Feshbach Resonances: Condensate Fraction in the BCS-BEC Crossover Luca Salasnich Dipartimento di Fisica e Astronomia Galileo Galilei and CNISM, Università di Padova INO-CNR, Research
More informationWhen fermions become bosons: Pairing in ultracold gases
When fermions become bosons: Pairing in ultracold gases Carlos A. R. Sá de Melo The unprecedented control over the interactions and pairing of ultracold fermionic atoms provides insight into exotic strongly
More informationCritical lines and points. in the. QCD phase diagram
Critical lines and points in the QCD phase diagram Understanding the phase diagram Phase diagram for m s > m u,d quark-gluon plasma deconfinement quark matter : superfluid B spontaneously broken nuclear
More informationLecture 3 : ultracold Fermi Gases
Lecture 3 : ultracold Fermi Gases The ideal Fermi gas: a reminder Interacting Fermions BCS theory in a nutshell The BCS-BEC crossover and quantum simulation Many-Body Physics with Cold Gases Diluteness:
More informationOn the Higgs mechanism in the theory of
On the Higgs mechanism in the theory of superconductivity* ty Dietrich Einzel Walther-Meißner-Institut für Tieftemperaturforschung Bayerische Akademie der Wissenschaften D-85748 Garching Outline Phenomenological
More informationSarma phase in relativistic and non-relativistic systems
phase in relativistic and non-relativistic systems Tina Katharina Herbst In Collaboration with I. Boettcher, J. Braun, J. M. Pawlowski, D. Roscher, N. Strodthoff, L. von Smekal and C. Wetterich arxiv:149.5232
More informationExperiments with an Ultracold Three-Component Fermi Gas
Experiments with an Ultracold Three-Component Fermi Gas The Pennsylvania State University Ken O Hara Jason Williams Eric Hazlett Ronald Stites John Huckans Overview New Physics with Three Component Fermi
More informationBardeen Bardeen, Cooper Cooper and Schrieffer and Schrieffer 1957
Unexpected aspects of large amplitude nuclear collective motion Aurel Bulgac University of Washington Collaborators: Sukjin YOON (UW) Kenneth J. ROCHE (ORNL) Yongle YU (now at Wuhan Institute of Physics
More informationAstronomy, Astrophysics, and Cosmology
Astronomy, Astrophysics, and Cosmology Luis A. Anchordoqui Department of Physics and Astronomy Lehman College, City University of New York Lesson IX April 12, 2016 arxiv:0706.1988 L. A. Anchordoqui (CUNY)
More informationBCS-BEC BEC Crossover at Finite Temperature in Cold Gases and Condensed Matter KITP
BCS-BEC BEC Crossover at Finite Temperature in Cold Gases and Condensed Matter KITP May 2007 Cold Atom Collaborators: Qijin Chen J. Stajic (U Chicago; LANL) Yan He (U. Chicago) ChihChun Chien (U. Chicago)
More informationThe Electro-Strong Interaction
The Electro-Strong Interaction Taking into account the Planck Distribution Law of the electromagnetic oscillators, we can explain the electron/proton mass rate and the Weak and Strong Interactions. Lattice
More informationIntroduction to Dense Matter. C. J. Pethick (U. of Copenhagen and NORDITA)
Introduction to Dense Matter C. J. Pethick (U. of Copenhagen and NORDITA) Astro-Solids, Dense Matter, and Gravitational Waves INT, Seattle, April 16, 2018 Bottom lines Exciting time for neutron star studies:
More informationThe Magnificent Seven : Strong Toroidal Fields?
1 Basic Neutron Star Cooling Troubles: Surface Effects and Pairing Minimal Cooling The Magnificent Seven : Strong Toroidal Fields? Conclusions 2 Basic Neutron Star Cooling Troubles: Surface Effects and
More informationDynamic Density and Spin Responses in the BCS-BEC Crossover: Toward a Theory beyond RPA
Dynamic Density and Spin Responses in the BCS-BEC Crossover: Toward a Theory beyond RPA Lianyi He ( 何联毅 ) Department of Physics, Tsinghua University 2016 Hangzhou Workshop on Quantum Degenerate Fermi Gases,
More informationNeutron Star Structure
Shapiro and Teukolsky, Chapters 2, 8, 9 Neutron Star Structure We now enter the study of neutron stars. Like black holes, neutron stars are one of the three possible endpoints of stellar evolution (the
More informationStrongly Correlated Systems:
M.N.Kiselev Strongly Correlated Systems: High Temperature Superconductors Heavy Fermion Compounds Organic materials 1 Strongly Correlated Systems: High Temperature Superconductors 2 Superconductivity:
More informationSuperfluid Heat Conduction in the Neutron Star Crust
Superfluid Heat Conduction in the Neutron Star Crust Sanjay Reddy Los Alamos National Lab Collaborators : Deborah Aguilera Vincenzo Cirigliano Jose Pons Rishi Sharma arxiv:0807.4754 Thermal Conduction
More informationQuantum Theory of Matter
Quantum Theory of Matter Overview Lecture Derek Lee Imperial College London January 2007 Outline 1 Course content Introduction Superfluids Superconductors 2 Course Plan Resources Outline 1 Course content
More informationSimulation of neutron-rich dilute nuclear matter using ultracold Fermi gases
APCTP Focus Program on Quantum Condensation (QC12) Simulation of neutron-rich dilute nuclear matter using ultracold Fermi gases Munekazu Horikoshi Photon Science Center of University of Tokyo Grant-In-Aid
More informationCondensation of pairs of fermionic lithium atoms
Condensation of pairs of fermionic lithium atoms Wolfgang Ketterle Massachusetts Institute of Technology MIT-Harvard Center for Ultracold Atoms 5/10/04 KITP workshop, Santa Barbara BEC I Ultracold fermions
More information1 Superfluidity and Bose Einstein Condensate
Physics 223b Lecture 4 Caltech, 04/11/18 1 Superfluidity and Bose Einstein Condensate 1.6 Superfluid phase: topological defect Besides such smooth gapless excitations, superfluid can also support a very
More informationNanoelectronics 14. [( ) k B T ] 1. Atsufumi Hirohata Department of Electronics. Quick Review over the Last Lecture.
Nanoelectronics 14 Atsufumi Hirohata Department of Electronics 09:00 Tuesday, 27/February/2018 (P/T 005) Quick Review over the Last Lecture Function Fermi-Dirac distribution f ( E) = 1 exp E µ [( ) k B
More informationEvaluating the Phase Diagram at finite Isospin and Baryon Chemical Potentials in NJL model
Evaluating the Phase Diagram at finite Isospin and Baryon Chemical Potentials in NJL model Chengfu Mu, Peking University Collaborated with Lianyi He, J.W.Goethe University Prof. Yu-xin Liu, Peking University
More informationAstronomy 421. Lecture 23: End states of stars - Neutron stars
Astronomy 421 Lecture 23: End states of stars - Neutron stars 1 Outline Neutron stars Pulsars properties distribution emission mechanism evolution 2 Neutron stars Typical values: M ~ 1.4M R ~ 10 km ρ ~
More information1 Introduction. 2 The hadronic many body problem
Models Lecture 18 1 Introduction In the next series of lectures we discuss various models, in particluar models that are used to describe strong interaction problems. We introduce this by discussing the
More informationUltracold atoms and neutron-rich matter in nuclei and astrophysics
Ultracold atoms and neutron-rich matter in nuclei and astrophysics Achim Schwenk NORDITA program Pushing the boundaries with cold atoms Stockholm, Jan. 23, 2013 Outline Advances in nuclear forces 3N forces
More informationCold and dense QCD matter
Cold and dense QCD matter GCOE sympodium Feb. 15, 2010 Yoshimasa Hidaka Quantum ChromoDynamics Atom Electron 10-10 m Quantum ChromoDynamics Atom Nucleon Electron 10-10 m 10-15 m Quantum ElectroDynamics
More informationA Superfluid Universe
A Superfluid Universe Lecture 2 Quantum field theory & superfluidity Kerson Huang MIT & IAS, NTU Lecture 2. Quantum fields The dynamical vacuum Vacuumscalar field Superfluidity Ginsburg Landau theory BEC
More information13. Basic Nuclear Properties
13. Basic Nuclear Properties Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 13. Basic Nuclear Properties 1 In this section... Motivation for study The strong nuclear force Stable nuclei Binding
More informationSECTION A: NUCLEAR AND PARTICLE PHENOMENOLOGY
SECTION A: NUCLEAR AND PARTICLE PHENOMENOLOGY This introductory section covers some standard notation and definitions, and includes a brief survey of nuclear and particle properties along with the major
More informationEffective Field Theory for Nuclear Physics! Akshay Vaghani! Mississippi State University!
Effective Field Theory for Nuclear Physics! Akshay Vaghani! Mississippi State University! Overview! Introduction! Basic ideas of EFT! Basic Examples of EFT! Algorithm of EFT! Review NN scattering! NN scattering
More informationRevolution in Physics. What is the second quantum revolution? Think different from Particle-Wave Duality
PHYS 34 Modern Physics Ultracold Atoms and Trappe Ions Today and Mar.3 Contents: a) Revolution in physics nd Quantum revolution b) Quantum simulation, measurement, and information c) Atomic ensemble and
More informationUltracold Fermi Gases with unbalanced spin populations
7 Li Bose-Einstein Condensate 6 Li Fermi sea Ultracold Fermi Gases with unbalanced spin populations Nir Navon Fermix 2009 Meeting Trento, Italy 3 June 2009 Outline Introduction Concepts in imbalanced Fermi
More informationThe Quark-Gluon plasma in the LHC era
The Quark-Gluon plasma in the LHC era Journées de prospective IN2P3-IRFU, Giens, Avril 2012 t z IPhT, Saclay 1 Quarks and gluons Strong interactions : Quantum Chromo-Dynamics Matter : quarks ; Interaction
More informationBose-Einstein Condensate: A New state of matter
Bose-Einstein Condensate: A New state of matter KISHORE T. KAPALE June 24, 2003 BOSE-EINSTEIN CONDENSATE: A NEW STATE OF MATTER 1 Outline Introductory Concepts Bosons and Fermions Classical and Quantum
More informationSuperfluidity. v s. E. V. Thuneberg Department of Physical Sciences, P.O.Box 3000, FIN University of Oulu, Finland (Dated: June 8, 2012)
Superfluidity E. V. Thuneberg Department of Physical Sciences, P.O.Box 3000, FIN-90014 University of Oulu, Finland (Dated: June 8, 01) PACS numbers: 67.40.-w, 67.57.-z, 74., 03.75.-b I. INTRODUCTION Fluids
More information